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Basic Phage Mathematics.

Stephen T Abedon1, Tena I Katsaounis2

  • 1Department of Microbiology, The Ohio State University, 299 Bromfield, Columbus, OH, 43210, USA. abedon.1@osu.edu.

Methods in Molecular Biology (Clifton, N.J.)
|November 15, 2017
PubMed
Summary

Mathematical models help quantify phage-bacterial interactions and phage titers, crucial for laboratory use and phage therapy applications. Understanding these dynamics enhances phage manipulation and application efficacy.

Keywords:
Adsorption rateEfficiency of platingKilling titersMultiplicity of infectionPhage ecologyPhage population growthPhage therapy modelingPoisson distributionTiter determination

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Area of Science:

  • Microbiology
  • Mathematical Biology
  • Ecology

Background:

  • Phage titers (concentration) are fundamental descriptors in phage ecology and therapy.
  • Phage-bacterial interactions, influenced by bacterial density, significantly alter phage titers.
  • Mathematical models offer insights into these interactions and titer dynamics.

Purpose of the Study:

  • To provide mathematical insights into phage-bacterial interactions.
  • To enhance the informed use and manipulation of phages in laboratory settings.
  • To improve the application of phages, particularly in phage therapy.

Main Methods:

  • Utilizing basic mathematical models to describe phage adsorption and interactions.
  • Considering changes in phage and bacterial densities over time.
  • Exploring spatially constrained processes in phage-bacterial dynamics.

Main Results:

  • Mathematical models can describe phage adsorption events and their impact on bacterial populations.
  • Models can account for dynamic changes in both phage and bacterial densities.
  • The study emphasizes facile mathematical insight for practical applications.

Conclusions:

  • Mathematical descriptions are vital for understanding phage ecology and applied phage ecology.
  • Accurate quantification and modeling of phages are essential for effective phage therapy.
  • This work aims to foster more informed laboratory and clinical use of phages.